Asymmetric polygons with maximum area

الأصل · EN

We say that a polygon inscribed in the circle is asymmetric if it contains no two antipodal points being the endpoints of a diameter. Given n diameters of a circle and a positive integer k<n, this paper addresses the problem of computing a maximum area asymmetric k-gon having as vertices k<n endpoints of the given diameters. The study of this type of polygons is motivated by ethnomusiciological applications.